This transfer is possible in two ways: direct transfer and using the decimal system.
first, let\'s make a direct transfer.
let\'s make a direct translation from binary to post-binary like this:
000110111001.1010111010002 = 000 110 111 001. 101 011 101 000 = 000(=0) 110(=6) 111(=7) 001(=1). 101(=5) 011(=3) 101(=5) 000(=0) = 0671.53508
answer: 000110111001.1010111010002 = 0671.53508
now let\'s make the transfer using the decimal system.
let\'s translate to decimal like this:
0∙211+0∙210+0∙29+1∙28+1∙27+0∙26+1∙25+1∙24+1∙23+0∙22+0∙21+1∙20+1∙2-1+0∙2-2+1∙2-3+0∙2-4+1∙2-5+1∙2-6+1∙2-7+0∙2-8+1∙2-9+0∙2-10+0∙2-11+0∙2-12 = 0∙2048+0∙1024+0∙512+1∙256+1∙128+0∙64+1∙32+1∙16+1∙8+0∙4+0∙2+1∙1+1∙0.5+0∙0.25+1∙0.125+0∙0.0625+1∙0.03125+1∙0.015625+1∙0.0078125+0∙0.00390625+1∙0.001953125+0∙0.0009765625+0∙0.00048828125+0∙0.000244140625 = 0+0+0+256+128+0+32+16+8+0+0+1+0.5+0+0.125+0+0.03125+0.015625+0.0078125+0+0.001953125+0+0+0 = 441.68164062510
got It: 000110111001.1010111010002 =441.68164062510
Translate the number 441.68164062510 в octal like this:
the Integer part of the number is divided by the base of the new number system:
441 | 8 | | |
-440 | 55 | 8 | |
1 | -48 | 6 | |
| 7 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 681640625*8 |
5 | .45313*8 |
3 | .625*8 |
5 | .0*8 |
the result of the conversion was:
441.68164062510 = 671.5358
answer: 000110111001.1010111010002 = 671.5358